3D Strain Waveform Analysis for Blast Vibration
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Solution Overview
Problem
Existing vibration analysis systems face challenges in accurately determining strain and stress in structures due to the non-linear nature of blast events and complex geological conditions, leading to difficulties in setting appropriate vibration limits, which can result in costly operations or unsafe practices.
Innovation Solution
A process for vibration analysis that involves synchronized motion measurements in multiple dimensions over time, allowing for the determination of strain waveforms and stress waveforms based on constitutive properties of the medium, using a system with geophones, accelerometers, and other sensors to generate 2D or 3D images of strain, and solving equations using matrix methods to account for non-linear relationships and boundary conditions.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Device complexity
If simple wave models (1D relationship between particle velocity and strain) are used, then the analysis is simple, but the measurement precision of strain and stress is insufficient for rapid transient events and near-field regions
Solution Approach 1:
The patent transitions from one-dimensional particle velocity measurements to two-dimensional and three-dimensional strain tensor measurements by deploying multiple sensors in spatial arrays. This dimensional expansion enables capture of complex wave propagation patterns including P-waves, S-waves, and surface waves, providing comprehensive strain and stress characterization that simple 1D models cannot achieve.
Solution Approach 2:
The patent changes the fundamental measurement parameters from single-point particle velocity to multi-point strain tensor components. By measuring displacement gradients in multiple directions and computing the full strain tensor (including normal strains εx, εy, εz and shear strains γxy, γyz, γzx), the system achieves accurate representation of complex deformation states in rapid transient events.
2Ease of operation
If preselected PPV, PPA or PPD limits are used, then the operation is simple, but the reliability of determining instability is compromised due to difficulty in accurately determining appropriate limits
Solution Approach 1:
The patent replaces the empirical mechanical approach of comparing particle velocity to predefined limits with a physics-based continuum mechanics approach. By measuring displacement gradients and computing strain tensors, the system directly quantifies the physical state of deformation in the medium, enabling reliability-based limit setting through comparison with material strength and stability criteria rather than empirical velocity thresholds.
Solution Approach 2:
The system establishes feedback loops where measured strain and stress values are continuously compared against dynamically determined stability thresholds. The thresholds are not fixed but adapt based on the specific geological conditions, blast parameters, and real-time measurements, allowing operators to adjust limits based on actual structural response rather than relying on conservative preselected values.
3Device complexity
If linear proportionality between strain and particle velocity is assumed, then the analysis is simple, but the measurement precision is insufficient for rapid transient events and near-field regions
Solution Approach 1:
The patent employs dynamic analysis methods that account for the time-varying nature of rapid transient events. By measuring displacement gradients at multiple time points and computing the full strain tensor as a function of time, the system captures the dynamic evolution of deformation during blast events, replacing static linear assumptions with dynamic continuum mechanics formulations that accurately represent transient wave propagation.
Applied Scientific Principles
This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.
Function Achieved in This Case
This approach provides more accurate strain and stress measurements, enabling better assessment of damage potential and selection of optimal vibration limits, thereby improving operational safety and reducing costs by quantifying blast damage and improving rock mechanics analysis.
Implementation Method 1
receiving synchronized motion measurements of particle motion in two or three orthogonal dimensions... at a plurality of different measurement locations
Implementation Method 2
The motions of the particles in the structure or structures can be related to each other through various forms of mechanical waves such as particle displacement, particle velocity, particle acceleration vibration waves, stress waves or strain waves propagating in the structure(s)
Data Source
AI summary
A process for vibration analysis, including the steps of: receiving synchronized motion measurements of particle motion in two or three orthogonal dimensions over a selected period of time at a plurality of different measurement locations; and determining one or more strain waveforms in the orthogonal dimensions in regions spanning the plurality of measurement locations using the motion measurements.